{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Power Spectra\n",
    "\n",
    "Power spectra are used to analyze the average frequency content across signals in an RF image such as that produced by a transducer. This example relies on `scipy` and `matplotlib` to generate the power spectral density plot for sample RF data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "!{sys.executable} -m pip install itk matplotlib scipy numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "import itk\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import signal\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "RF_IMAGE_PATH = './MouseLiverRF.mha'\n",
    "SAMPLING_FREQUENCY = 60e6 # Hz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4, 128, 1536)\n"
     ]
    }
   ],
   "source": [
    "assert os.path.exists(RF_IMAGE_PATH)\n",
    "rf_image = itk.imread(RF_IMAGE_PATH)\n",
    "rf_array = itk.array_view_from_image(rf_image)\n",
    "print(rf_array.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Power Spectral Density"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(1, figsize=(10,8))\n",
    "\n",
    "for frame_idx in range(rf_image.shape[0]):\n",
    "    arr = rf_array[frame_idx,:,:]\n",
    "    freq, Pxx = signal.periodogram(arr,\n",
    "                                   SAMPLING_FREQUENCY,\n",
    "                                   window='hamming',\n",
    "                                   detrend='linear',\n",
    "                                   axis=1)\n",
    "    # Take mean spectra across lateral dimension\n",
    "    Pxx = np.mean(Pxx,0)\n",
    "    plt.semilogy([f / 1e6 for f in freq], Pxx, label=frame_idx)\n",
    "    \n",
    "plt.title('RF Image Power Spectra')\n",
    "plt.xlabel('Frequency [MHz]')\n",
    "plt.ylabel('Power spectral density [V**2/Hz]')\n",
    "plt.legend([f'Frame {idx}' for idx in range(rf_image.shape[0])],loc='upper right')\n",
    "\n",
    "os.makedirs('./Output',exist_ok=True)\n",
    "plt.savefig('./Output/PowerSpectralDensity.png',dpi=300)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
